2. Can early homework grades predict student’ final score? Answer the questions below using the regression results (unit: point). (3 pts). Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 51.53 13.45 3.83 0.00 24.26 78.80 HW score 0.36 0.13 2.71 0.01 0.09 0.62 a) Find the equation for the regression line for predicting final score from early homework score. (1 pt) b) Is "homework score" a significant predictor of student’s final score? Why or why not? Provide statistic evidence. (1 pt) c) Interpret slope and y-intercept. (1 pt)

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

hence, the required result is

step-by-step explanation:

suppose we have two matrices a and b

we will assume the two matrices

we have to compute b-a which means subtracting corresponding elements of a from b.

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